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312313803792 = 24331379758481
BaseRepresentation
bin1001000101101110101…
…10100111010000010000
31002212010200112001222020
410202313112213100100
520104104313210132
6355250332411440
731364266350054
oct4426726472020
91085120461866
10312313803792
111104a7000351
1250641316b80
13235b2cb5243
141118a6c7c64
1581cd76852c
hex48b75a7410

312313803792 has 160 divisors (see below), whose sum is σ = 864178689024. Its totient is φ = 97011302400.

The previous prime is 312313803707. The next prime is 312313803793. The reversal of 312313803792 is 297308313213.

It is not an unprimeable number, because it can be changed into a prime (312313803793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5311192 + ... + 5369672.

Almost surely, 2312313803792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312313803792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432089344512).

312313803792 is an abundant number, since it is smaller than the sum of its proper divisors (551864885232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312313803792 is a wasteful number, since it uses less digits than its factorization.

312313803792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58657 (or 58651 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 312313803792 in words is "three hundred twelve billion, three hundred thirteen million, eight hundred three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 97 111 124 148 186 194 222 248 291 296 372 388 444 496 582 592 744 776 888 1147 1164 1488 1552 1776 2294 2328 3007 3441 3589 4588 4656 6014 6882 7178 9021 9176 10767 12028 13764 14356 18042 18352 21534 24056 27528 28712 36084 43068 48112 55056 57424 58481 72168 86136 111259 116962 144336 172272 175443 222518 233924 333777 350886 445036 467848 667554 701772 890072 935696 1335108 1403544 1780144 1812911 2163797 2670216 2807088 3625822 4327594 5340432 5438733 5672657 6491391 7251644 8655188 10877466 11345314 12982782 14503288 17017971 17310376 21754932 22690628 25965564 29006576 34035942 34620752 43509864 45381256 51931128 67077707 68071884 87019728 90762512 103862256 134155414 136143768 175852367 201233121 209888309 268310828 272287536 351704734 402466242 419776618 527557101 536621656 629664927 703409468 804932484 839553236 1055114202 1073243312 1259329854 1406818936 1609864968 1679106472 2110228404 2518659708 2813637872 3219729936 3358212944 4220456808 5037319416 6506537579 8440913616 10074638832 13013075158 19519612737 26026150316 39039225474 52052300632 78078450948 104104601264 156156901896 312313803792